{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython import display\n",
    "from sklearn.model_selection import train_test_split\n",
    "import ipdb\n",
    "np.random.seed(666)\n",
    "num_observations = 500\n",
    "\n",
    "x1 = np.random.multivariate_normal([0, 0],[[1, .5],[.5, 1]], num_observations)\n",
    "x2 = np.random.multivariate_normal([1, 4],[[1, .5],[.5, 1]], num_observations)\n",
    "\n",
    "X = np.vstack((x1, x2)).astype(np.float32)\n",
    "Y = np.hstack((np.zeros(num_observations), np.ones(num_observations)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size=0.1, shuffle=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# def show(X, y, w_0, w, title = \"Samples and Classifier\",th=0):\n",
    "#     plt.figure()\n",
    "#     plt.scatter(X[:, 0], X[:, 1], c=y, alpha=0.9, edgecolors='black')\n",
    "#     # ipdb.set_trace()\n",
    "#     xx, yy = np.meshgrid(np.linspace(-4, 5, 500), np.linspace(-4, 5, 500))\n",
    "#     xy = np.c_[xx.ravel(), yy.ravel()]\n",
    "#     xy_1 = np.concatenate((xy,np.ones((xy.shape[0],1))), axis=1)\n",
    "#     Z = np.dot(xy_1, w)\n",
    "#     Z = Z.reshape(xx.shape)\n",
    "#     plt.contour(xx, yy, Z, levels=[th], colors='b')\n",
    "    \n",
    "#     Z = np.dot(xy_1, w_0)\n",
    "#     Z = Z.reshape(xx.shape)\n",
    "#     plt.contour(xx, yy, Z, levels=[th], colors='y')\n",
    "\n",
    "#     display.clear_output(wait=True)\n",
    "#     plt.title(title)\n",
    "#     plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show(X, y, w_0, w, title = \"Samples and Classifier\",th=0):\n",
    "    plt.figure()\n",
    "    plt.ylim([-5,8])\n",
    "    plt.xlim([-4,4])\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=y, alpha=0.9, edgecolors='black')   \n",
    "    plt.plot([-4,4],[(th-w[2,:]-w[0,:]*(-4))/w[1,:],(th-w[2,:]-w[0,:]*(4))/w[1,:]], 'b')\n",
    "    plt.plot([-4,4],[(th-w_0[2,:]-w_0[0,:]*(-4))/w_0[1,:],(th-w_0[2,:]-w_0[0,:]*(4))/w_0[1,:]], 'y')\n",
    "    display.clear_output(wait=True)\n",
    "    plt.title(title)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Precision(pred, y):\n",
    "    # precision = TP / (TP + FP)\n",
    "    y = y.reshape((1,-1))\n",
    "    pred = pred.reshape((1,-1))\n",
    "    index_ = pred == 1\n",
    "    TP = (y[index_] == 1).sum()\n",
    "\n",
    "    return (TP / index_.sum())\n",
    "\n",
    "\n",
    "def Recall(pred, y):\n",
    "    # recall = TP / (TP + FN)\n",
    "    y = y.reshape((1,-1))\n",
    "    pred = pred.reshape((1,-1))\n",
    "    index_ = y == 1\n",
    "    TP = (pred[index_] == 1).sum()\n",
    "\n",
    "    return (TP / index_.sum())\n",
    "\n",
    "\n",
    "def Accuracy(pred, y):\n",
    "    y = y.reshape((1,-1))\n",
    "    pred = pred.reshape((1,-1))\n",
    "    return ((pred == y).sum() / len(y))\n",
    "\n",
    "\n",
    "def Fscore(pred, y):\n",
    "    # F = 5PR / (2P + 3R)\n",
    "    y = y.reshape((1,-1))\n",
    "    pred = pred.reshape((1,-1))\n",
    "    P = Precision(pred, y)\n",
    "    R = Recall(pred, y)\n",
    "\n",
    "    F = 5 * P * R / (2 * P + 3 * R)\n",
    "\n",
    "    return F\n",
    "\n",
    "def cal_error(label, pred):\n",
    "    label = label.reshape((1,-1))\n",
    "    pred = pred.reshape((1,-1))\n",
    "    err = np.average(1-(pred == label))\n",
    "    return err\n",
    "\n",
    "def L2_loss(label, pred):\n",
    "    label = label.reshape((1,-1))\n",
    "    pred = pred.reshape((1,-1))\n",
    "    err = 0.5*np.average(np.power(pred - label,2))\n",
    "    return err"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Perception():\n",
    "    def __init__(self,n_feature, lr=1e-3, th = 0) -> None:\n",
    "        self.n_feature = n_feature\n",
    "        # self.w = np.zeros((n_feature+1, 1))\n",
    "        # self.w = 1.1*np.ones((n_feature+1, 1))\n",
    "        self.w = np.random.randn(n_feature+1, 1)\n",
    "        self.lr=lr\n",
    "        self.trainable = True\n",
    "        self.th = th\n",
    "\n",
    "    def __f_x(self,input):\n",
    "        return np.float32(input > self.th)\n",
    "\n",
    "    def eval(self,):\n",
    "        self.trainable = False\n",
    "\n",
    "    def train(self,):\n",
    "        self.trainable = True\n",
    "    \n",
    "    def forward(self,x_in,y_in=None):\n",
    "        if x_in.shape[-1] is not self.n_feature:\n",
    "            print(f\"Error: expect [-1, {self.n_feature}] but got {x_in.shape}\")\n",
    "            return\n",
    "        x_in = x_in.reshape((-1,self.n_feature))\n",
    "        x_in = np.concatenate((x_in,np.ones((x_in.shape[0],1))), axis=1)\n",
    "        y_out = self.__f_x(np.dot(x_in, self.w))\n",
    "        if self.trainable ==  True:\n",
    "            y_in = np.reshape(y_in, y_out.shape)\n",
    "            self.grad = y_in - y_out\n",
    "        return y_out\n",
    "\n",
    "    def backward(self,x_in):\n",
    "        if self.trainable == False:\n",
    "            print(\"Error: Model Not Trainable\")\n",
    "            return\n",
    "        if x_in.shape[-1] is not self.n_feature:\n",
    "            print(f\"Error: expect [-1, {self.n_feature}] but got {x_in.shape}\")\n",
    "            return\n",
    "        x_in = x_in.reshape((-1,self.n_feature))\n",
    "        x_in = np.concatenate((x_in,np.ones((x_in.shape[0],1))), axis=1)\n",
    "        w_t1 = self.w + self.lr * np.dot(x_in.T, self.grad)\n",
    "        self.w = w_t1\n",
    "    \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "acc_s = []\n",
    "p_s = []\n",
    "f_s = []\n",
    "r_s = []\n",
    "loss_s = []\n",
    "model = Perception(2,lr=1e-3,th=0.5)\n",
    "epoch = 25\n",
    "err_th = 0.02\n",
    "err=1.0\n",
    "epoch_cnt = 0\n",
    "# for i in range(epoch):\n",
    "while err > err_th and epoch_cnt < 101:\n",
    "    # X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size=0.1, shuffle=True)\n",
    "    epoch_cnt += 1\n",
    "    w_0 = model.w\n",
    "    for j in range(len(X_train)):\n",
    "        model.train()\n",
    "        y_i = model.forward(X_train[j],Y_train[j])\n",
    "        model.backward(X_train[j]) \n",
    "        \n",
    "        # if j%100 == 0:\n",
    "    model.eval()\n",
    "    y_o = model.forward(X_test)\n",
    "    acc = np.average(y_o == (Y_test.reshape((-1,1))))\n",
    "    acc_s.append(acc)\n",
    "    err = cal_error(Y_test, y_o)\n",
    "    p = np.round(Precision(y_o,Y_test),3)\n",
    "    r = np.round(Recall(y_o,Y_test),3)\n",
    "    loss = L2_loss(Y_test, y_o)\n",
    "    p_s.append(p)\n",
    "    r_s.append(r)\n",
    "    loss_s.append(loss)\n",
    "    show(X, Y, w_0, model.w, title = f\"Samples and Classifier, Acc:{acc}, Err:{err}, \\n P:{p}, R:{r}, Epoch:{epoch_cnt}\", th=model.th)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(acc_s)\n",
    "plt.title(\"Accuracy Per Epoch\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_33506/206369539.py:8: RuntimeWarning: invalid value encountered in long_scalars\n",
      "  return (TP / index_.sum())\n"
     ]
    }
   ],
   "source": [
    "all_acc = []\n",
    "all_p = []\n",
    "all_r = []\n",
    "all_loss = []\n",
    "\n",
    "epoch = 100\n",
    "err=1.0\n",
    "lrs = np.linspace(1e-5, 1e-3, 10)\n",
    "lrs = np.round(lrs, 5)\n",
    "for lr in lrs:\n",
    "    model = Perception(2,lr=lr,th=0.5)\n",
    "    acc_s = []\n",
    "    p_s = []\n",
    "    r_s = []\n",
    "    loss_s = []\n",
    "    for i in range(epoch):\n",
    "        w_0 = model.w\n",
    "        for j in range(len(X_train)):\n",
    "            model.train()\n",
    "            y_i = model.forward(X_train[j],Y_train[j])\n",
    "            model.backward(X_train[j]) \n",
    "            loss = L2_loss(y_o,Y_test)\n",
    "            loss_s.append(loss)\n",
    "            # if j%100 == 0:\n",
    "        model.eval()\n",
    "        y_o = model.forward(X_test)\n",
    "        acc = np.average(y_o == (Y_test.reshape((-1,1))))\n",
    "        acc_s.append(acc)\n",
    "        p = np.round(Precision(y_o,Y_test),3)\n",
    "        r = np.round(Recall(y_o,Y_test),3)\n",
    "        \n",
    "        p_s.append(p)\n",
    "        r_s.append(r)\n",
    "        \n",
    "    all_acc.append(acc_s)\n",
    "    all_p.append(p_s)\n",
    "    all_r.append(r_s)\n",
    "    all_loss.append(loss_s)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 6))\n",
    "plt.subplot(1,2,1)\n",
    "for k in range(len(all_acc)):\n",
    "    acc_s = all_acc[k]\n",
    "    lr = lrs[k]\n",
    "    plt.plot(list(range(epoch)),acc_s,label=f\"{lr}\")\n",
    "plt.title(f\"Running Accuracy via Different Learning Rate: {epoch} Epoches\")\n",
    "plt.legend(loc=4)\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "final_acc = []\n",
    "for k in range(len(all_acc)):\n",
    "    acc_s = all_acc[k]\n",
    "    final_acc.append(acc_s[-1])\n",
    "plt.plot(list(lrs),final_acc)\n",
    "plt.title(f\"Final Accuracy via Different Learning Rate: {epoch} Epoches\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 6))\n",
    "plt.subplot(1,2,1)\n",
    "for k in range(len(all_p)):\n",
    "    p_s = all_p[k]\n",
    "    lr = lrs[k]\n",
    "    plt.plot(list(range(epoch)),p_s,label=f\"{lr}\")\n",
    "plt.title(f\"Running Precision via Different Learning Rate: {epoch} Epoches\")\n",
    "plt.legend(loc=4)\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "final_p = []\n",
    "for k in range(len(all_p)):\n",
    "    p_s = all_p[k]\n",
    "    final_p.append(p_s[-1])\n",
    "plt.plot(list(lrs),final_p)\n",
    "plt.title(f\"Final Precision via Different Learning Rate: {epoch} Epoches\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 6))\n",
    "plt.subplot(1,2,1)\n",
    "for k in range(len(all_r)):\n",
    "    r_s = all_r[k]\n",
    "    lr = lrs[k]\n",
    "    plt.plot(list(range(epoch)),r_s,label=f\"{lr}\")\n",
    "plt.title(f\"Running Recall via Different Learning Rate: {epoch} Epoches\")\n",
    "plt.legend(loc=4)\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "final_r = []\n",
    "for k in range(len(all_r)):\n",
    "    r_s = all_r[k]\n",
    "    final_r.append(r_s[-1])\n",
    "plt.plot(list(lrs),final_r)\n",
    "plt.title(f\"Final Recall via Different Learning Rate: {epoch} Epoches\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "for k in range(len(all_loss)):\n",
    "    loss_s = all_loss[k]\n",
    "    lr = lrs[k]\n",
    "    plt.plot(list(range(len(loss_s))),loss_s,label=f\"{lr}\")\n",
    "plt.title(f\"Running Loss via Different Learning Rate: {epoch} Epoches\")\n",
    "plt.legend(loc='upper right',ncol=3)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1"
  },
  "kernelspec": {
   "display_name": "Python 3.8.10 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
